The normal lens on a 35-mm camera has a focal length of 50.0 mm . Its aperture d

Question

The normal lens on a 35-mm camera has a focal length of 50.0 mm . Its aperture diameter varies from a maximum of 18 mm (f/2.8) to a minimum of 2.3 mm (f/22).

A) Determine the resolution limit set by diffraction for f/2.8. Specify as the number of lines per millimeter resolved on the film. Take = 560 nm.

Before you copy and paste that list that I see on a lot of answers for this one, I have tried 497 and 500 already. Please do the math so that I can also learn how to answer this question on a test!

It is NOT 497 or 500

B) Determine the resolution limit set by diffraction forf/22. Specify as the number of lines per millimeter resolved on the film. Take = 560 nm.

It is NOT 63.

Explanation / Answer

(A)

From,

y = 1.22 L lamda / D

y = 1.22*f*560*10^(-9) / (f / 2.8)

y = 1912.96 nm

lines / mm = 10^(-3) / 1912.96*10^(-9)

so, resolution limit = 522.75 = 523

(B)

y = 1.22 L lamda / D

y = 1.22*f*560*10^(-9) / (f / 22)

y = 15030.4 nm

lines / mm = 10^(-3) / 15030.4*10^(-9)

so, resolution limit = 66.53 = 67

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